Choose a Topic
Vertical Curves
Grading
The Shape Of A Vertical
Curve
Properties Of A Parabola
Highest (Or Lowest Point)
On A Crest Curve
Lengths Of Vertical
Curves
Centrifugal Effects
Sight Distance
Setting Out Vertical
Curves
Example
Highest (Or Lowest) Point On Crest (Sag) Curve
Taking A as datum any point on the curve will have a height
| H = | px | - | (p + q)x2 |
| 100 | 200L |
For maximum value of H
| dH | = | p | - | (p + q)x | = 0 | i.e. x = | p | x | 100L | = | pL |
| dx | 100 | 100L | 100 | (p + q) | (p + q) |
